Answer:
a.(2 × 25) + 105
Step-by-step explanation:
Let the number of hours spent repairing the bike = x
Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.
Therefore, our algebraic expression
= $25× x + $105
= 25x + 105
We were told in the question that He spent 2 hours repairing her bike.
Hence:
25 × 2 + 105
Therefore, the correct option is option a
a.(2 × 25) + 105
Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?
Answer:
y = -2*x² + 60*x
Step-by-step explanation:
The general form of a quadratic function is:
y = a*x² + b*x + c
We need to determine a ; b ; and c. For that we have three conditions therefore
Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets
12* 36 = 432 $ or y = 432 and
432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c
Second condition selling at 13 $ each T-shirt she sells 34 , then
13*34 = 442
442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c
And the third condition
11*38 = 418
418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c
We have a three equation system
432 = 144*a + 12*b + c (1)
442 = 169*a + 13*b + c (2)
418 = 121*a + 11*b + c (3)
We need to solve it for a, b and c
Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)
24 = 48*a + 2*b
Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )
24 = 48*a + 20 - 50*a
24 - 20 = -2*a
4 = - 2*a
a = - 2 and b = 10 - 25*( -2) b = 60
Finally c is: 432 = 144*a + 12*b + c
432 = 144* ( -2) + 12*60 + c
432 = - 288 + 720 + c
432 = 432 + c
c = 0
The quadratic function is:
y = -2*x² + 60*x
2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?
Answer:
0.30
Step-by-step explanation:
Probability of stopping at first signal = 0.36 ;
P(stop 1) = P(x) = 0.36
Probability of stopping at second signal = 0.54;
P(stop 2) = P(y) = 0.54
Probability of stopping at atleast one of the two signals:
P(x U y) = 0.6
Stopping at both signals :
P(xny) = p(x) + p(y) - p(xUy)
P(xny) = 0.36 + 0.54 - 0.6
P(xny) = 0.3
Stopping at x but not y
P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06
Stopping at y but not x
P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24
Probability of stopping at exactly 1 signal :
P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30
please help me, yall :))))
The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49
find the value of x in the equation below.
x+1=6
Which system of linear equations appears to have a solution of (3,0)?
Answer:
C
Step-by-step explanation:
HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE
Answer:
h - 18 = 67
Step-by-step explanation:
If h is her height, then her height minus 18 is 67, or h - 18 = 67
Answer:
67 = h - 18
Step-by-step explanation:
Sry I meant h-18 = 67
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.
Answer:
648 inches
Step-by-step explanation:
12 + 6 = 18 yards
there are 36 inches in 1 yard
so there is 648 inches in 18 yards
Answer:
she has 18 yards of fabric all together
the sum of 17 and 3 times x
Answer:
20x?
Step-by-step explanation:
Answer:
it will = 17+3x. hope it helps
Given that line AD ll to line EH, find the measure of
Answer:
x=7.5
Step-by-step explanation:
Since AD II EH, ∠CBD=∠BFH (alternate angles)
2x+60=10x
8x=60
x=7.5
Answer:
x = 7.5
each angle measures 75°
Step-by-step explanation:
the two angles are corresponding, meaning they are equal
10x = 2x + 60
8x = 60
x = 7.5
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:
Answer: the initial number of water lily’s
Step-by-step explanation:
the value 1.106 represents the population increase rate
edge 2021
The value 3.915 represents the initial population of water lilies
Expoenential equationsThe standard exponential equation is given as y = ab^x
where;
a is the initial populationb is the rate (growth or decline)Given the exponential equation y = 3.915(1.106^x
On comparison, we can see that;
a = 3. 915
This shows that the value 3.915 represents the initial population of water lilies
Learn more on exponential equation here: https://brainly.com/question/2456547
Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS
Answer:
691,255(0.985)t ≤ 621,859; t ≥ 7
Step-by-step explanation:
i just did it. it was C
Answer:
Yes it is corect,
C
Step-by-step explanation:
"Out of" is used when you want too divide . True or false ?
Answer:
I think it's true
Step-by-step explanation:
Answer: this is true
Step-by-step explanation:
The term out of is express as a fraction
Example:
1/2
This is 1 out of 2
Hope this helps ;)
FOR 20 points
Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.
Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ 176x + 88y = 6424
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
the sum of 36 and 3c
Answer:
Step-by-step explanation:
just add 36 and 3
Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.
Answer:
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes
The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.
Given :
Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.The following steps can be used in order to determine the 95% confidence interval for the mean installation time:
Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.
[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]
where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.
Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.
[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]
[tex]M = 1.225[/tex]
Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).
The 95% confidence interval for the mean installation time is (40.775, 43.225).
For more information, refer to the link given below:
https://brainly.com/question/6979326
help me i need help help me help me
What number is 120% of 16?
Answer:19.2
Step-by-step explanation:
PLEASE help!!!!
Im timed!
Answer:
it would be B
Step-by-step explanation:
I need help... plssss :))
Answer:
(1, -1), (1, -2), (2, -3), (2, -4)
NO
Step-by-step explanation:
✔️Each ordered pair is written as (input, output).
Thus, we would have the following:
(1, -1), (1, -2), (2, -3), (2, -4)
✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.
So, the answer is NO. It is not a function.
PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.
Answer:
Its oka linden
Step-by-step explanation:
Just cause
6n + 13 = 43
a
6
b
-5
c
5
d
-5
Answer:
C) n=5
Step-by-step explanation:
6n+13=43
6n+13-13=43-13
6n=30
6n/6=30/6
n=5
Answer:
Your answer is c
Step-by-step explanation:
Here you go mate
Step 1
6n+13=43 Equation/Question
Step 2
6n+13=43 Simplify
6n+13=43
Step 3
6n+13=43 Subtract 13 from sides
6n=30
Step 4
6n=30 Divide sides by 6
5
Answer
n=5
Hope this helps
I need help please?!!!!
Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answer:
c
Step-by-step explanation:
because all the x values in c are different
how many 1/2 kg packets of salt can you obtain from 18 kg of salt
Answer:
36
Step-by-step explanation:
18 × 2 = 36
Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg
What accounted for the high mortality rate of the French Army in Russia?
Answer:the lost the war
Step-by-step explanation:
Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3
Answer:
y -y1= m(x-x1) is in point slope form
y --9 = -2 (x-10)
y+9 = -2(x-10)
Step-by-step explanation:
HOPE THIS HELPS!!!
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
